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Slicing 3D Figures Worksheet

Explore cross-sections of various 3D geometric figures, including prisms, pyramids, cylinders, and cones, with this Grade 10 math worksheet.

Grade 10 Math GeometrySlicing 3d Figures
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Includes

3 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSG.GMD.B.4

Topics

Geometry3D ShapesCross-sectionsSlicing
7 sections · Free to use · Printable
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Slicing 3D Figures

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Read each question carefully and determine the shape of the cross-section formed when the 3D figure is sliced as described. Draw the resulting cross-section in the space provided.

1. A rectangular prism is sliced horizontally. What is the shape of the cross-section?

LengthWidthHeight

2. A triangular prism is sliced parallel to its base. What is the shape of the cross-section?

3. A square pyramid is sliced parallel to its base. What is the shape of the cross-section?

4. A square pyramid is sliced perpendicular to its base, passing through the apex. What is the shape of the cross-section?

5. A cylinder is sliced parallel to its base. What is the shape of the cross-section?

hr

6. A cone is sliced perpendicular to its base, passing through the apex. What is the shape of the cross-section?

7. Which of the following shapes can be a cross-section of a sphere?

a

Square

b

Triangle

c

Circle

d

Rectangle

8. When a plane slices through a 3D figure, the resulting 2D shape is called a  .

9. A slice through a cylinder that is neither parallel nor perpendicular to its base can result in an  .